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Finding the Third Proportional to 203,426 and 314,724

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Solution

The third proportional to 203,426 and 314,724 is: 486,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,426 : 314,724 = 314,724 : x
  2. Step 2: Convert to fraction form
    203,426/314,724 = 314,724/x
  3. Step 3: Cross multiply
    203,426x = 314,724 × 314,724
  4. Step 4: Simplify right side
    203,426x = 99,051,196,176
  5. Step 5: Solve for x
    x = 99,051,196,176/203,426
  6. Step 6: Final answer
    x = 486,915.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.